Exponent $x$ tending to infinity

Question

When an expression has $x$ tending to infinity and it's an exponent, like: $$\lim\limits_{x \to \infty} \frac 1{2^x},$$
is there some way to get a solid value for this limit (hopefully $0$, but at this stage I'm not picky)?

Answer 1

It never reaches a solid value, think of it as the numerator being a constant, and the denominator growing infinitely, the resultant fraction tends to 0.

In any case this is a basic situation that your textbook or teacher will cover and explain, go check it out!

Answer 2

Your limit is 0. I would advise that you read about this in your book. It is impossible that this (and many other scenario you might encounter) is not covered.

Answer 3

$2^x->\infty$ $=>$ $1/2^x->0$